{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- By: Aman Dhaliwal\n",
    "- Email: amandhaliwal44@hotmail.com\n",
    "- Reference: Hierarchical Risk Parity by Marcos Lopez de Prado"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hierarchical Risk Parity with MlFinLab\n",
    "\n",
    "## Abstract\n",
    "Throughout this notebook, users will be taken through how they can construct optimal portfolios using the Hierarchical Risk Parity algorithm. Users will also be shown how to create custom use cases and how to build a Long/Short portfolio.\n",
    "\n",
    "All calculations and algorithms will be implemented through the MlFinLab library.\n",
    "\n",
    "\n",
    "## Introduction\n",
    "The Hierarchical Risk Parity (HRP) algorithm was developed by Dr. Marcos Lopez de Prado in 2016. Throughout this notebook, we will go through how we can implement this algorithm through the MlFinLab library. \n",
    "\n",
    "The HRP algorithm is computed throughout 3 main steps:\n",
    "1. Hierarchical Clustering - breaks down our assets into hierarchical clusters\n",
    "2. Quasi-Diagonalization - reorganizes the covariance matrix, placing similar assets together\n",
    "3. Recursive Bisection - weights are assigned to each asset in our portfolio\n",
    "\n",
    "For a detailed explanation behind the theory of this algorithm, please refer to __[this blog post](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__ where it is explained in detail. Additionally, please refer to the  __[official HRP documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_risk_parity.html)__ to learn more about this specific implementation through the MlFinLab library.\n",
    "\n",
    "### Support Linkage Methods\n",
    "MlFinLab allows users to customize the type of linkage algorithm for the use of clustering. The current supported linkage methods are:\n",
    "1. Single Linkage - the distance between two clusters is the minimum distance between any two points in the clusters\n",
    "2. Complete Linkage - the distance between two clusters is the maximum of the distance between any two points in the clusters\n",
    "3. Average Linkage - the distance between two clusters is the average of the distance between any two points in the clusters\n",
    "4. Ward Linkage - the distance between two clusters is the increase of the squared error from when two clusters are merged\n",
    "\n",
    "**The default linkage method in MlFinLab is set as the Single Linkage method.**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing our required libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "import seaborn as sns\n",
    "from mlfinlab.portfolio_optimization import ReturnsEstimators\n",
    "from mlfinlab.portfolio_optimization import HierarchicalRiskParity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Data\n",
    "\n",
    "In this tutorial, we will be working with the historical closing prices for 17 assets from 2010-2018. The data we are working with was chosen because the clustering structure is clearly visible so it is a very good dataset for working with and visualizing various clustering techniques."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dates</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1989-02-01</th>\n",
       "      <td>2039.7</td>\n",
       "      <td>875.47</td>\n",
       "      <td>297.09</td>\n",
       "      <td>392.50</td>\n",
       "      <td>99.081</td>\n",
       "      <td>99.039</td>\n",
       "      <td>99.572</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.031</td>\n",
       "      <td>100.345</td>\n",
       "      <td>101.080</td>\n",
       "      <td>101.936</td>\n",
       "      <td>154.38</td>\n",
       "      <td>117.50</td>\n",
       "      <td>1636.57</td>\n",
       "      <td>133.584</td>\n",
       "      <td>286.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-02</th>\n",
       "      <td>2043.4</td>\n",
       "      <td>878.08</td>\n",
       "      <td>296.84</td>\n",
       "      <td>392.00</td>\n",
       "      <td>98.898</td>\n",
       "      <td>99.117</td>\n",
       "      <td>99.278</td>\n",
       "      <td>99.692</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.314</td>\n",
       "      <td>101.017</td>\n",
       "      <td>101.905</td>\n",
       "      <td>154.94</td>\n",
       "      <td>117.69</td>\n",
       "      <td>1642.94</td>\n",
       "      <td>135.052</td>\n",
       "      <td>287.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-03</th>\n",
       "      <td>2069.9</td>\n",
       "      <td>884.09</td>\n",
       "      <td>296.97</td>\n",
       "      <td>388.75</td>\n",
       "      <td>98.907</td>\n",
       "      <td>99.002</td>\n",
       "      <td>99.145</td>\n",
       "      <td>99.178</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.921</td>\n",
       "      <td>101.718</td>\n",
       "      <td>155.69</td>\n",
       "      <td>118.62</td>\n",
       "      <td>1659.11</td>\n",
       "      <td>137.134</td>\n",
       "      <td>285.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-06</th>\n",
       "      <td>2044.3</td>\n",
       "      <td>885.49</td>\n",
       "      <td>296.04</td>\n",
       "      <td>388.00</td>\n",
       "      <td>98.484</td>\n",
       "      <td>98.502</td>\n",
       "      <td>98.510</td>\n",
       "      <td>97.739</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.794</td>\n",
       "      <td>101.468</td>\n",
       "      <td>155.58</td>\n",
       "      <td>118.89</td>\n",
       "      <td>1656.86</td>\n",
       "      <td>137.037</td>\n",
       "      <td>284.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-07</th>\n",
       "      <td>2072.8</td>\n",
       "      <td>883.82</td>\n",
       "      <td>299.63</td>\n",
       "      <td>392.75</td>\n",
       "      <td>98.438</td>\n",
       "      <td>98.312</td>\n",
       "      <td>98.292</td>\n",
       "      <td>97.688</td>\n",
       "      <td>99.906</td>\n",
       "      <td>100.251</td>\n",
       "      <td>101.144</td>\n",
       "      <td>102.092</td>\n",
       "      <td>156.84</td>\n",
       "      <td>118.28</td>\n",
       "      <td>1662.76</td>\n",
       "      <td>136.914</td>\n",
       "      <td>284.21</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              FTSE  EuroStoxx50   SP500    Gold  French-2Y  French-5Y  \\\n",
       "Dates                                                                   \n",
       "1989-02-01  2039.7       875.47  297.09  392.50     99.081     99.039   \n",
       "1989-02-02  2043.4       878.08  296.84  392.00     98.898     99.117   \n",
       "1989-02-03  2069.9       884.09  296.97  388.75     98.907     99.002   \n",
       "1989-02-06  2044.3       885.49  296.04  388.00     98.484     98.502   \n",
       "1989-02-07  2072.8       883.82  299.63  392.75     98.438     98.312   \n",
       "\n",
       "            French-10Y  French-30Y    US-2Y    US-5Y   US-10Y   US-30Y  \\\n",
       "Dates                                                                    \n",
       "1989-02-01      99.572     100.000  100.031  100.345  101.080  101.936   \n",
       "1989-02-02      99.278      99.692  100.000  100.314  101.017  101.905   \n",
       "1989-02-03      99.145      99.178   99.812  100.062  100.921  101.718   \n",
       "1989-02-06      98.510      97.739   99.812  100.062  100.794  101.468   \n",
       "1989-02-07      98.292      97.688   99.906  100.251  101.144  102.092   \n",
       "\n",
       "            Russel2000  EuroStox_Small  FTSE_Small  MSCI_EM     CRB  \n",
       "Dates                                                                \n",
       "1989-02-01      154.38          117.50     1636.57  133.584  286.67  \n",
       "1989-02-02      154.94          117.69     1642.94  135.052  287.03  \n",
       "1989-02-03      155.69          118.62     1659.11  137.134  285.63  \n",
       "1989-02-06      155.58          118.89     1656.86  137.037  284.69  \n",
       "1989-02-07      156.84          118.28     1662.76  136.914  284.21  "
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# preparing our data\n",
    "raw_prices = pd.read_csv(\"../../Sample-Data/assetalloc.csv\", sep=';', parse_dates=True, index_col='Dates', dayfirst=True)\n",
    "stock_prices = raw_prices.sort_values(by='Dates')\n",
    "stock_prices.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Taking a quick look at our most recent 5000 data points\n",
    "stock_prices.resample('M').last().plot(figsize=(17,7))\n",
    "plt.ylabel('Price', size=15)\n",
    "plt.xlabel('Dates', size=15)\n",
    "plt.title('Asset Prices Overview', size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot the volatility of our stocks as well for further inspection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting the volatility of our stocks\n",
    "volatility = stock_prices.pct_change().rolling(window=252).std()*(252**0.5)\n",
    "\n",
    "plt.figure(figsize=(17,7))\n",
    "plt.plot(volatility)\n",
    "plt.ylabel('Volatility', size=20)\n",
    "plt.xlabel('Date', size=20)\n",
    "plt.title('Volatility of Asset Prices', size=18)\n",
    "plt.legend(stock_prices.columns, loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additionally, we can plot the covariance matrix of our assets as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 504x504 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "asset_returns = ReturnsEstimators.calculate_returns(stock_prices)\n",
    "plt.figure(figsize=(7,7))\n",
    "g = sns.clustermap(asset_returns.corr())\n",
    "g.fig.suptitle('Correlation Matrix of Asset Returns', fontsize = 20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HRP Implementation\n",
    "\n",
    "Throughout these examples, we will show readers how they can construct an optimal portfolio using the HRP class provided through MlFinLab.\n",
    "\n",
    "In order to construct our optimal portfolio, we must first instantiate the HierarchicalRiskParity() class and then run the allocate() method. Please note that the allocate method requires only two parameters to run its default solution:\n",
    "1. asset_names (a list of strings containing the asset names)\n",
    "2. asset_prices (a dataframe of historical asset prices - daily close)\n",
    "\n",
    "Users are also given the option to customize many different parameters in the allocate() method, some of these include:\n",
    "1. The type of linkage algorithm being used\n",
    "2. Whether to shrink the covariance matrix\n",
    "\n",
    "Additionally, instead of providing raw historical closing prices, users can choose to input asset returns, a covariance matrix, and a distance matrix instead. For simplicity, we will only be working with the two required parameters as well as specifying our linkage algorithm of choice.\n",
    "\n",
    "Throughout this section, we will construct four optimal portfolios - one portfolio for each supported linkage algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HRP Portfolio Weights - Single Linkage \n",
      "       US-2Y    US-30Y     US-5Y    US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
      "0  0.342019  0.005462  0.031405  0.010994    0.007092     0.02637   0.447405   \n",
      "\n",
      "   French-5Y      Gold       CRB     SP500  Russel2000   MSCI_EM  FTSE_Small  \\\n",
      "0   0.083377  0.004831  0.027454  0.002351     0.00173  0.001613    0.005024   \n",
      "\n",
      "       FTSE  EuroStoxx50  EuroStox_Small  \n",
      "0  0.001463     0.000535        0.000875  \n"
     ]
    }
   ],
   "source": [
    "# constructing our Single Linkage portfolio\n",
    "hrp_single = HierarchicalRiskParity()\n",
    "hrp_single.allocate(asset_names=stock_prices.columns,\n",
    "                    asset_prices=stock_prices,\n",
    "                    linkage='single')\n",
    "\n",
    "print(\"HRP Portfolio Weights - Single Linkage \\n\", hrp_single.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_single_weights = hrp_single.weights\n",
    "y_pos = np.arange(len(hrp_single_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_single_weights.columns), hrp_single_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Single Linkage', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MlFinLab also provides users with the ability to plot their hierarchical tree from the optimized portfolio. This graph can be accessed through the plot_cluster() method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting dendrogram of HRP portfolio\n",
    "plt.figure(figsize=(17,7))\n",
    "hrp_single.plot_clusters(stock_prices.columns)\n",
    "plt.title('HRP Dendrogram', size=18)\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HRP Portfolio Weights - Complete Linkage \n",
      "       US-2Y    US-30Y     US-5Y    US-10Y  French-2Y  French-5Y  French-10Y  \\\n",
      "0  0.342019  0.005462  0.031405  0.010994   0.447405   0.083377     0.02637   \n",
      "\n",
      "   French-30Y     SP500  Russel2000   MSCI_EM  FTSE_Small      FTSE  \\\n",
      "0    0.007092  0.001989    0.001464  0.002245    0.006993  0.002146   \n",
      "\n",
      "   EuroStoxx50  EuroStox_Small      Gold       CRB  \n",
      "0     0.001443        0.003874  0.003849  0.021873  \n"
     ]
    }
   ],
   "source": [
    "# constructing our Complete Linkage portfolio\n",
    "hrp_complete = HierarchicalRiskParity()\n",
    "hrp_complete.allocate(asset_names=stock_prices.columns,\n",
    "                      asset_prices=stock_prices,\n",
    "                      linkage='complete')\n",
    "\n",
    "print(\"HRP Portfolio Weights - Complete Linkage \\n\", hrp_complete.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_complete_weights = hrp_complete.weights\n",
    "y_pos = np.arange(len(hrp_complete_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_complete_weights.columns), hrp_complete_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Complete Linkage', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HRP Portfolio Weights - Average Linkage \n",
      "         CRB     SP500  Russel2000   MSCI_EM  FTSE_Small      FTSE  \\\n",
      "0  0.023688  0.003356     0.00191  0.002398    0.005167  0.001826   \n",
      "\n",
      "   EuroStoxx50  EuroStox_Small      Gold     US-2Y    US-30Y     US-5Y  \\\n",
      "0      0.00105        0.001717  0.004258  0.394527  0.004289  0.039091   \n",
      "\n",
      "    US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.01678   0.439188   0.048666    0.009526    0.002562  \n"
     ]
    }
   ],
   "source": [
    "# constructing our Average Linkage portfolio\n",
    "hrp_average = HierarchicalRiskParity()\n",
    "hrp_average.allocate(asset_names=stock_prices.columns,\n",
    "                     asset_prices=stock_prices,\n",
    "                     linkage='average')\n",
    "\n",
    "print(\"HRP Portfolio Weights - Average Linkage \\n\", hrp_average.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_average_weights = hrp_average.weights\n",
    "y_pos = np.arange(len(hrp_average_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_average_weights.columns), hrp_average_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Average Linkage', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HRP Portfolio Weights - Ward Linkage \n",
      "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.005128  0.029138  0.002495    0.001836  0.001695      0.00114   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0         0.00205    0.005278  0.003196  0.398019  0.004188  0.038167   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.016486   0.431492   0.047813    0.009359    0.002517  \n"
     ]
    }
   ],
   "source": [
    "# constructing our Ward Linkage portfolio\n",
    "hrp_ward = HierarchicalRiskParity()\n",
    "hrp_ward.allocate(asset_names=stock_prices.columns,\n",
    "                  asset_prices=stock_prices,\n",
    "                  linkage='ward')\n",
    "\n",
    "print(\"HRP Portfolio Weights - Ward Linkage \\n\", hrp_ward.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_ward_weights = hrp_ward.weights\n",
    "y_pos = np.arange(len(hrp_ward_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_ward_weights.columns), hrp_ward_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Ward Linkage', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comparing different linkage methods\n",
    "single_linkage_weights = hrp_single.weights\n",
    "complete_linkage_weights = hrp_complete.weights[single_linkage_weights.columns]\n",
    "average_linkage_weights = hrp_average.weights[single_linkage_weights.columns]\n",
    "ward_linkage_weights = hrp_ward.weights[single_linkage_weights.columns]\n",
    "\n",
    "x = np.arange(len(single_linkage_weights.columns))\n",
    "bar_width = 0.2\n",
    "\n",
    "plt.figure(figsize=(20,7))\n",
    "plt.bar(x, single_linkage_weights.values[0], color='blue', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width, complete_linkage_weights.values[0], color='red', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*2, average_linkage_weights.values[0], color='purple', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*3, ward_linkage_weights.values[0], color='pink', width=bar_width, zorder=2)\n",
    "\n",
    "plt.xticks(x + bar_width, single_linkage_weights, rotation=45, size=10)\n",
    "plt.title('Comparison of HRP Linkage Algorithms', size=18)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "\n",
    "blue_patch = mpatches.Patch(color='blue', label='Single Linkage')\n",
    "red_patch = mpatches.Patch(color='red', label='Complete Linkage')\n",
    "purple_patch = mpatches.Patch(color='purple', label='Average Linkage')\n",
    "pink_patch = mpatches.Patch(color='pink', label='Ward Linkage')\n",
    "plt.legend(handles=[blue_patch, red_patch, purple_patch, pink_patch], loc='upper left', prop={'size': 13})\n",
    "\n",
    "plt.grid(axis='y')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Custom Input from Users\n",
    "\n",
    "MlFinLab also provides users with a lot of customizability when it comes to creating their optimal portfolios. Instead of providing the raw historical closing prices for assets, users can instead input asset returns, a covariance matrix of asset returns, a distance matrix, and side weights.\n",
    "\n",
    "In this section, we will make use of the following parameters in the allocate() method to construct a custom use case:\n",
    "1. asset_returns – (pd.Dataframe/numpy matrix) User supplied matrix of asset returns\n",
    "2. covariance_matrix – (pd.Dataframe/numpy matrix) User supplied covariance matrix of asset returns\n",
    "3. side_weights – (pd.Series/numpy matrix) With asset_names in index and value 1 for Buy, -1 for Sell (default 1 for all)\n",
    "\n",
    "We will be constructing our first custom portfolio using the asset_returns and covariance_matrix parameters. We will then work with the side_weights parameter to construct a Long/Short portfolio.\n",
    "\n",
    "To make some of the necessary calculations, we will make use of the ReturnsEstimators class provided by MlFinLab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dates</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1989-02-02</th>\n",
       "      <td>0.001814</td>\n",
       "      <td>0.002981</td>\n",
       "      <td>-0.000841</td>\n",
       "      <td>-0.001274</td>\n",
       "      <td>-0.001847</td>\n",
       "      <td>0.000788</td>\n",
       "      <td>-0.002953</td>\n",
       "      <td>-0.003080</td>\n",
       "      <td>-0.000310</td>\n",
       "      <td>-0.000309</td>\n",
       "      <td>-0.000623</td>\n",
       "      <td>-0.000304</td>\n",
       "      <td>0.003627</td>\n",
       "      <td>0.001617</td>\n",
       "      <td>0.003892</td>\n",
       "      <td>0.010989</td>\n",
       "      <td>0.001256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-03</th>\n",
       "      <td>0.012969</td>\n",
       "      <td>0.006844</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>-0.008291</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>-0.001160</td>\n",
       "      <td>-0.001340</td>\n",
       "      <td>-0.005156</td>\n",
       "      <td>-0.001880</td>\n",
       "      <td>-0.002512</td>\n",
       "      <td>-0.000950</td>\n",
       "      <td>-0.001835</td>\n",
       "      <td>0.004841</td>\n",
       "      <td>0.007902</td>\n",
       "      <td>0.009842</td>\n",
       "      <td>0.015416</td>\n",
       "      <td>-0.004878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-06</th>\n",
       "      <td>-0.012368</td>\n",
       "      <td>0.001584</td>\n",
       "      <td>-0.003132</td>\n",
       "      <td>-0.001929</td>\n",
       "      <td>-0.004277</td>\n",
       "      <td>-0.005050</td>\n",
       "      <td>-0.006405</td>\n",
       "      <td>-0.014509</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.001258</td>\n",
       "      <td>-0.002458</td>\n",
       "      <td>-0.000707</td>\n",
       "      <td>0.002276</td>\n",
       "      <td>-0.001356</td>\n",
       "      <td>-0.000707</td>\n",
       "      <td>-0.003291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-07</th>\n",
       "      <td>0.013941</td>\n",
       "      <td>-0.001886</td>\n",
       "      <td>0.012127</td>\n",
       "      <td>0.012242</td>\n",
       "      <td>-0.000467</td>\n",
       "      <td>-0.001929</td>\n",
       "      <td>-0.002213</td>\n",
       "      <td>-0.000522</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.001889</td>\n",
       "      <td>0.003472</td>\n",
       "      <td>0.006150</td>\n",
       "      <td>0.008099</td>\n",
       "      <td>-0.005131</td>\n",
       "      <td>0.003561</td>\n",
       "      <td>-0.000898</td>\n",
       "      <td>-0.001686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-08</th>\n",
       "      <td>0.011289</td>\n",
       "      <td>0.009040</td>\n",
       "      <td>-0.003271</td>\n",
       "      <td>-0.005729</td>\n",
       "      <td>0.001219</td>\n",
       "      <td>0.003519</td>\n",
       "      <td>0.004721</td>\n",
       "      <td>0.002099</td>\n",
       "      <td>-0.000941</td>\n",
       "      <td>-0.000948</td>\n",
       "      <td>-0.001266</td>\n",
       "      <td>-0.004280</td>\n",
       "      <td>0.001020</td>\n",
       "      <td>0.003805</td>\n",
       "      <td>0.011481</td>\n",
       "      <td>0.000825</td>\n",
       "      <td>0.000598</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                FTSE  EuroStoxx50     SP500      Gold  French-2Y  French-5Y  \\\n",
       "Dates                                                                         \n",
       "1989-02-02  0.001814     0.002981 -0.000841 -0.001274  -0.001847   0.000788   \n",
       "1989-02-03  0.012969     0.006844  0.000438 -0.008291   0.000091  -0.001160   \n",
       "1989-02-06 -0.012368     0.001584 -0.003132 -0.001929  -0.004277  -0.005050   \n",
       "1989-02-07  0.013941    -0.001886  0.012127  0.012242  -0.000467  -0.001929   \n",
       "1989-02-08  0.011289     0.009040 -0.003271 -0.005729   0.001219   0.003519   \n",
       "\n",
       "            French-10Y  French-30Y     US-2Y     US-5Y    US-10Y    US-30Y  \\\n",
       "Dates                                                                        \n",
       "1989-02-02   -0.002953   -0.003080 -0.000310 -0.000309 -0.000623 -0.000304   \n",
       "1989-02-03   -0.001340   -0.005156 -0.001880 -0.002512 -0.000950 -0.001835   \n",
       "1989-02-06   -0.006405   -0.014509  0.000000  0.000000 -0.001258 -0.002458   \n",
       "1989-02-07   -0.002213   -0.000522  0.000942  0.001889  0.003472  0.006150   \n",
       "1989-02-08    0.004721    0.002099 -0.000941 -0.000948 -0.001266 -0.004280   \n",
       "\n",
       "            Russel2000  EuroStox_Small  FTSE_Small   MSCI_EM       CRB  \n",
       "Dates                                                                   \n",
       "1989-02-02    0.003627        0.001617    0.003892  0.010989  0.001256  \n",
       "1989-02-03    0.004841        0.007902    0.009842  0.015416 -0.004878  \n",
       "1989-02-06   -0.000707        0.002276   -0.001356 -0.000707 -0.003291  \n",
       "1989-02-07    0.008099       -0.005131    0.003561 -0.000898 -0.001686  \n",
       "1989-02-08    0.001020        0.003805    0.011481  0.000825  0.000598  "
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculating our asset returns\n",
    "returns = ReturnsEstimators.calculate_returns(stock_prices)\n",
    "returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>FTSE</th>\n",
       "      <td>1.146945e-04</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>5.643606e-05</td>\n",
       "      <td>-3.081248e-06</td>\n",
       "      <td>-8.832561e-07</td>\n",
       "      <td>-2.423788e-06</td>\n",
       "      <td>-3.877263e-06</td>\n",
       "      <td>-0.000007</td>\n",
       "      <td>-1.684947e-06</td>\n",
       "      <td>-5.204467e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-0.000017</td>\n",
       "      <td>6.135381e-05</td>\n",
       "      <td>8.225258e-05</td>\n",
       "      <td>4.439900e-05</td>\n",
       "      <td>6.415264e-05</td>\n",
       "      <td>7.666681e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <td>1.156055e-04</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>7.300403e-05</td>\n",
       "      <td>-8.984117e-06</td>\n",
       "      <td>-1.007815e-06</td>\n",
       "      <td>-3.028229e-06</td>\n",
       "      <td>-4.756979e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-2.485549e-06</td>\n",
       "      <td>-7.711391e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-0.000025</td>\n",
       "      <td>8.212584e-05</td>\n",
       "      <td>1.151939e-04</td>\n",
       "      <td>5.028051e-05</td>\n",
       "      <td>7.834393e-05</td>\n",
       "      <td>8.579117e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SP500</th>\n",
       "      <td>5.643606e-05</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1.166470e-04</td>\n",
       "      <td>-5.160036e-06</td>\n",
       "      <td>-7.911315e-07</td>\n",
       "      <td>-2.029786e-06</td>\n",
       "      <td>-3.471091e-06</td>\n",
       "      <td>-0.000006</td>\n",
       "      <td>-1.831687e-06</td>\n",
       "      <td>-5.366541e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-0.000017</td>\n",
       "      <td>1.169106e-04</td>\n",
       "      <td>5.176979e-05</td>\n",
       "      <td>2.052664e-05</td>\n",
       "      <td>4.920214e-05</td>\n",
       "      <td>5.734262e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gold</th>\n",
       "      <td>-3.081248e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-5.160036e-06</td>\n",
       "      <td>9.391228e-05</td>\n",
       "      <td>5.410605e-07</td>\n",
       "      <td>1.476888e-06</td>\n",
       "      <td>2.321374e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>4.275486e-07</td>\n",
       "      <td>1.104387e-06</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>-3.318860e-06</td>\n",
       "      <td>-2.983680e-06</td>\n",
       "      <td>5.254349e-07</td>\n",
       "      <td>1.190630e-05</td>\n",
       "      <td>6.521527e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-2Y</th>\n",
       "      <td>-8.832561e-07</td>\n",
       "      <td>-0.000001</td>\n",
       "      <td>-7.911315e-07</td>\n",
       "      <td>5.410605e-07</td>\n",
       "      <td>7.601231e-07</td>\n",
       "      <td>1.489883e-06</td>\n",
       "      <td>1.898718e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>2.531965e-07</td>\n",
       "      <td>6.484230e-07</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>-9.470974e-07</td>\n",
       "      <td>-7.577931e-07</td>\n",
       "      <td>-6.162087e-07</td>\n",
       "      <td>-9.918712e-07</td>\n",
       "      <td>-1.887774e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-5Y</th>\n",
       "      <td>-2.423788e-06</td>\n",
       "      <td>-0.000003</td>\n",
       "      <td>-2.029786e-06</td>\n",
       "      <td>1.476888e-06</td>\n",
       "      <td>1.489883e-06</td>\n",
       "      <td>4.078881e-06</td>\n",
       "      <td>5.636027e-06</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>6.932479e-07</td>\n",
       "      <td>1.962122e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>-2.710612e-06</td>\n",
       "      <td>-2.274587e-06</td>\n",
       "      <td>-1.463102e-06</td>\n",
       "      <td>-2.348135e-06</td>\n",
       "      <td>-5.283503e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-10Y</th>\n",
       "      <td>-3.877263e-06</td>\n",
       "      <td>-0.000005</td>\n",
       "      <td>-3.471091e-06</td>\n",
       "      <td>2.321374e-06</td>\n",
       "      <td>1.898718e-06</td>\n",
       "      <td>5.636027e-06</td>\n",
       "      <td>1.277570e-05</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1.087356e-06</td>\n",
       "      <td>3.382581e-06</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>-4.211428e-06</td>\n",
       "      <td>-3.527256e-06</td>\n",
       "      <td>-1.842464e-06</td>\n",
       "      <td>-3.291552e-06</td>\n",
       "      <td>-8.256807e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-30Y</th>\n",
       "      <td>-7.056356e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-6.099633e-06</td>\n",
       "      <td>3.174908e-06</td>\n",
       "      <td>2.821258e-06</td>\n",
       "      <td>9.019102e-06</td>\n",
       "      <td>1.901961e-05</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>1.680413e-06</td>\n",
       "      <td>5.734125e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>-8.772903e-06</td>\n",
       "      <td>-7.540945e-06</td>\n",
       "      <td>-4.252162e-06</td>\n",
       "      <td>-5.835942e-06</td>\n",
       "      <td>-1.919975e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-2Y</th>\n",
       "      <td>-1.684947e-06</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-1.831687e-06</td>\n",
       "      <td>4.275486e-07</td>\n",
       "      <td>2.531965e-07</td>\n",
       "      <td>6.932479e-07</td>\n",
       "      <td>1.087356e-06</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1.013660e-06</td>\n",
       "      <td>2.378533e-06</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>-2.342607e-06</td>\n",
       "      <td>-1.776541e-06</td>\n",
       "      <td>-8.056344e-07</td>\n",
       "      <td>-1.494199e-06</td>\n",
       "      <td>-2.967647e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-5Y</th>\n",
       "      <td>-5.204467e-06</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>-5.366541e-06</td>\n",
       "      <td>1.104387e-06</td>\n",
       "      <td>6.484230e-07</td>\n",
       "      <td>1.962122e-06</td>\n",
       "      <td>3.382581e-06</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>2.378533e-06</td>\n",
       "      <td>6.964215e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>-7.260984e-06</td>\n",
       "      <td>-5.806622e-06</td>\n",
       "      <td>-2.472951e-06</td>\n",
       "      <td>-4.365090e-06</td>\n",
       "      <td>-1.045403e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-10Y</th>\n",
       "      <td>-8.871253e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-8.873862e-06</td>\n",
       "      <td>1.474447e-06</td>\n",
       "      <td>1.021093e-06</td>\n",
       "      <td>3.312250e-06</td>\n",
       "      <td>6.182372e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>3.507931e-06</td>\n",
       "      <td>1.110897e-05</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>-1.266648e-05</td>\n",
       "      <td>-1.041040e-05</td>\n",
       "      <td>-4.390510e-06</td>\n",
       "      <td>-7.408970e-06</td>\n",
       "      <td>-1.898038e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-30Y</th>\n",
       "      <td>-1.656346e-05</td>\n",
       "      <td>-0.000025</td>\n",
       "      <td>-1.654380e-05</td>\n",
       "      <td>1.685619e-06</td>\n",
       "      <td>1.537965e-06</td>\n",
       "      <td>5.323585e-06</td>\n",
       "      <td>1.070338e-05</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>4.923400e-06</td>\n",
       "      <td>1.698166e-05</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.000063</td>\n",
       "      <td>-2.341776e-05</td>\n",
       "      <td>-1.938087e-05</td>\n",
       "      <td>-8.154762e-06</td>\n",
       "      <td>-1.362585e-05</td>\n",
       "      <td>-3.937092e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Russel2000</th>\n",
       "      <td>6.135381e-05</td>\n",
       "      <td>0.000082</td>\n",
       "      <td>1.169106e-04</td>\n",
       "      <td>-3.318860e-06</td>\n",
       "      <td>-9.470974e-07</td>\n",
       "      <td>-2.710612e-06</td>\n",
       "      <td>-4.211428e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-2.342607e-06</td>\n",
       "      <td>-7.260984e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-0.000023</td>\n",
       "      <td>1.585016e-04</td>\n",
       "      <td>6.264931e-05</td>\n",
       "      <td>2.629348e-05</td>\n",
       "      <td>5.763694e-05</td>\n",
       "      <td>6.943163e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <td>8.225258e-05</td>\n",
       "      <td>0.000115</td>\n",
       "      <td>5.176979e-05</td>\n",
       "      <td>-2.983680e-06</td>\n",
       "      <td>-7.577931e-07</td>\n",
       "      <td>-2.274587e-06</td>\n",
       "      <td>-3.527256e-06</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>-1.776541e-06</td>\n",
       "      <td>-5.806622e-06</td>\n",
       "      <td>-0.000010</td>\n",
       "      <td>-0.000019</td>\n",
       "      <td>6.264931e-05</td>\n",
       "      <td>1.043372e-04</td>\n",
       "      <td>4.677016e-05</td>\n",
       "      <td>7.067770e-05</td>\n",
       "      <td>8.287795e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FTSE_Small</th>\n",
       "      <td>4.439900e-05</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>2.052664e-05</td>\n",
       "      <td>5.254349e-07</td>\n",
       "      <td>-6.162087e-07</td>\n",
       "      <td>-1.463102e-06</td>\n",
       "      <td>-1.842464e-06</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>-8.056344e-07</td>\n",
       "      <td>-2.472951e-06</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>2.629348e-05</td>\n",
       "      <td>4.677016e-05</td>\n",
       "      <td>4.052613e-05</td>\n",
       "      <td>4.287962e-05</td>\n",
       "      <td>5.093547e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSCI_EM</th>\n",
       "      <td>6.415264e-05</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>4.920214e-05</td>\n",
       "      <td>1.190630e-05</td>\n",
       "      <td>-9.918712e-07</td>\n",
       "      <td>-2.348135e-06</td>\n",
       "      <td>-3.291552e-06</td>\n",
       "      <td>-0.000006</td>\n",
       "      <td>-1.494199e-06</td>\n",
       "      <td>-4.365090e-06</td>\n",
       "      <td>-0.000007</td>\n",
       "      <td>-0.000014</td>\n",
       "      <td>5.763694e-05</td>\n",
       "      <td>7.067770e-05</td>\n",
       "      <td>4.287962e-05</td>\n",
       "      <td>1.262376e-04</td>\n",
       "      <td>1.041458e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CRB</th>\n",
       "      <td>7.666681e-06</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>5.734262e-06</td>\n",
       "      <td>6.521527e-06</td>\n",
       "      <td>-1.887774e-07</td>\n",
       "      <td>-5.283503e-07</td>\n",
       "      <td>-8.256807e-07</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-2.967647e-07</td>\n",
       "      <td>-1.045403e-06</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>6.943163e-06</td>\n",
       "      <td>8.287795e-06</td>\n",
       "      <td>5.093547e-06</td>\n",
       "      <td>1.041458e-05</td>\n",
       "      <td>1.652703e-05</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        FTSE  EuroStoxx50         SP500          Gold  \\\n",
       "FTSE            1.146945e-04     0.000116  5.643606e-05 -3.081248e-06   \n",
       "EuroStoxx50     1.156055e-04     0.000171  7.300403e-05 -8.984117e-06   \n",
       "SP500           5.643606e-05     0.000073  1.166470e-04 -5.160036e-06   \n",
       "Gold           -3.081248e-06    -0.000009 -5.160036e-06  9.391228e-05   \n",
       "French-2Y      -8.832561e-07    -0.000001 -7.911315e-07  5.410605e-07   \n",
       "French-5Y      -2.423788e-06    -0.000003 -2.029786e-06  1.476888e-06   \n",
       "French-10Y     -3.877263e-06    -0.000005 -3.471091e-06  2.321374e-06   \n",
       "French-30Y     -7.056356e-06    -0.000009 -6.099633e-06  3.174908e-06   \n",
       "US-2Y          -1.684947e-06    -0.000002 -1.831687e-06  4.275486e-07   \n",
       "US-5Y          -5.204467e-06    -0.000008 -5.366541e-06  1.104387e-06   \n",
       "US-10Y         -8.871253e-06    -0.000013 -8.873862e-06  1.474447e-06   \n",
       "US-30Y         -1.656346e-05    -0.000025 -1.654380e-05  1.685619e-06   \n",
       "Russel2000      6.135381e-05     0.000082  1.169106e-04 -3.318860e-06   \n",
       "EuroStox_Small  8.225258e-05     0.000115  5.176979e-05 -2.983680e-06   \n",
       "FTSE_Small      4.439900e-05     0.000050  2.052664e-05  5.254349e-07   \n",
       "MSCI_EM         6.415264e-05     0.000078  4.920214e-05  1.190630e-05   \n",
       "CRB             7.666681e-06     0.000009  5.734262e-06  6.521527e-06   \n",
       "\n",
       "                   French-2Y     French-5Y    French-10Y  French-30Y  \\\n",
       "FTSE           -8.832561e-07 -2.423788e-06 -3.877263e-06   -0.000007   \n",
       "EuroStoxx50    -1.007815e-06 -3.028229e-06 -4.756979e-06   -0.000009   \n",
       "SP500          -7.911315e-07 -2.029786e-06 -3.471091e-06   -0.000006   \n",
       "Gold            5.410605e-07  1.476888e-06  2.321374e-06    0.000003   \n",
       "French-2Y       7.601231e-07  1.489883e-06  1.898718e-06    0.000003   \n",
       "French-5Y       1.489883e-06  4.078881e-06  5.636027e-06    0.000009   \n",
       "French-10Y      1.898718e-06  5.636027e-06  1.277570e-05    0.000019   \n",
       "French-30Y      2.821258e-06  9.019102e-06  1.901961e-05    0.000048   \n",
       "US-2Y           2.531965e-07  6.932479e-07  1.087356e-06    0.000002   \n",
       "US-5Y           6.484230e-07  1.962122e-06  3.382581e-06    0.000006   \n",
       "US-10Y          1.021093e-06  3.312250e-06  6.182372e-06    0.000011   \n",
       "US-30Y          1.537965e-06  5.323585e-06  1.070338e-05    0.000021   \n",
       "Russel2000     -9.470974e-07 -2.710612e-06 -4.211428e-06   -0.000009   \n",
       "EuroStox_Small -7.577931e-07 -2.274587e-06 -3.527256e-06   -0.000008   \n",
       "FTSE_Small     -6.162087e-07 -1.463102e-06 -1.842464e-06   -0.000004   \n",
       "MSCI_EM        -9.918712e-07 -2.348135e-06 -3.291552e-06   -0.000006   \n",
       "CRB            -1.887774e-07 -5.283503e-07 -8.256807e-07   -0.000002   \n",
       "\n",
       "                       US-2Y         US-5Y    US-10Y    US-30Y    Russel2000  \\\n",
       "FTSE           -1.684947e-06 -5.204467e-06 -0.000009 -0.000017  6.135381e-05   \n",
       "EuroStoxx50    -2.485549e-06 -7.711391e-06 -0.000013 -0.000025  8.212584e-05   \n",
       "SP500          -1.831687e-06 -5.366541e-06 -0.000009 -0.000017  1.169106e-04   \n",
       "Gold            4.275486e-07  1.104387e-06  0.000001  0.000002 -3.318860e-06   \n",
       "French-2Y       2.531965e-07  6.484230e-07  0.000001  0.000002 -9.470974e-07   \n",
       "French-5Y       6.932479e-07  1.962122e-06  0.000003  0.000005 -2.710612e-06   \n",
       "French-10Y      1.087356e-06  3.382581e-06  0.000006  0.000011 -4.211428e-06   \n",
       "French-30Y      1.680413e-06  5.734125e-06  0.000011  0.000021 -8.772903e-06   \n",
       "US-2Y           1.013660e-06  2.378533e-06  0.000004  0.000005 -2.342607e-06   \n",
       "US-5Y           2.378533e-06  6.964215e-06  0.000011  0.000017 -7.260984e-06   \n",
       "US-10Y          3.507931e-06  1.110897e-05  0.000020  0.000033 -1.266648e-05   \n",
       "US-30Y          4.923400e-06  1.698166e-05  0.000033  0.000063 -2.341776e-05   \n",
       "Russel2000     -2.342607e-06 -7.260984e-06 -0.000013 -0.000023  1.585016e-04   \n",
       "EuroStox_Small -1.776541e-06 -5.806622e-06 -0.000010 -0.000019  6.264931e-05   \n",
       "FTSE_Small     -8.056344e-07 -2.472951e-06 -0.000004 -0.000008  2.629348e-05   \n",
       "MSCI_EM        -1.494199e-06 -4.365090e-06 -0.000007 -0.000014  5.763694e-05   \n",
       "CRB            -2.967647e-07 -1.045403e-06 -0.000002 -0.000004  6.943163e-06   \n",
       "\n",
       "                EuroStox_Small    FTSE_Small       MSCI_EM           CRB  \n",
       "FTSE              8.225258e-05  4.439900e-05  6.415264e-05  7.666681e-06  \n",
       "EuroStoxx50       1.151939e-04  5.028051e-05  7.834393e-05  8.579117e-06  \n",
       "SP500             5.176979e-05  2.052664e-05  4.920214e-05  5.734262e-06  \n",
       "Gold             -2.983680e-06  5.254349e-07  1.190630e-05  6.521527e-06  \n",
       "French-2Y        -7.577931e-07 -6.162087e-07 -9.918712e-07 -1.887774e-07  \n",
       "French-5Y        -2.274587e-06 -1.463102e-06 -2.348135e-06 -5.283503e-07  \n",
       "French-10Y       -3.527256e-06 -1.842464e-06 -3.291552e-06 -8.256807e-07  \n",
       "French-30Y       -7.540945e-06 -4.252162e-06 -5.835942e-06 -1.919975e-06  \n",
       "US-2Y            -1.776541e-06 -8.056344e-07 -1.494199e-06 -2.967647e-07  \n",
       "US-5Y            -5.806622e-06 -2.472951e-06 -4.365090e-06 -1.045403e-06  \n",
       "US-10Y           -1.041040e-05 -4.390510e-06 -7.408970e-06 -1.898038e-06  \n",
       "US-30Y           -1.938087e-05 -8.154762e-06 -1.362585e-05 -3.937092e-06  \n",
       "Russel2000        6.264931e-05  2.629348e-05  5.763694e-05  6.943163e-06  \n",
       "EuroStox_Small    1.043372e-04  4.677016e-05  7.067770e-05  8.287795e-06  \n",
       "FTSE_Small        4.677016e-05  4.052613e-05  4.287962e-05  5.093547e-06  \n",
       "MSCI_EM           7.067770e-05  4.287962e-05  1.262376e-04  1.041458e-05  \n",
       "CRB               8.287795e-06  5.093547e-06  1.041458e-05  1.652703e-05  "
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculating our covariance matrix\n",
    "cov = returns.cov()\n",
    "cov"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building our First Custom Portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Custom HRP Portfolio Weights\n",
      "       US-2Y    US-30Y     US-5Y    US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
      "0  0.342019  0.005462  0.031405  0.010994    0.007092     0.02637   0.447405   \n",
      "\n",
      "   French-5Y      Gold       CRB     SP500  Russel2000   MSCI_EM  FTSE_Small  \\\n",
      "0   0.083377  0.004831  0.027454  0.002351     0.00173  0.001613    0.005024   \n",
      "\n",
      "       FTSE  EuroStoxx50  EuroStox_Small  \n",
      "0  0.001463     0.000535        0.000875  \n"
     ]
    }
   ],
   "source": [
    "# constructing our first custom portfolio\n",
    "hrp_custom = HierarchicalRiskParity()\n",
    "hrp_custom.allocate(asset_names=stock_prices.columns,\n",
    "                    asset_returns=returns,\n",
    "                    covariance_matrix=cov)\n",
    "print(\"Custom HRP Portfolio Weights\\n\", hrp_custom.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_custom_weights = hrp_custom.weights\n",
    "y_pos = np.arange(len(hrp_custom_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_custom_weights.columns), hrp_custom_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Custom Portfolio', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using a Custom Distance Matrix\n",
    "We can also use our own distance matrix to calculate our optimal portfolio. This distance matrix will be derived directly from the covariance matrix.\n",
    "\n",
    "We can make use of the cov_to_corr() method from the RiskEstimators class to perform some of the necessary calculations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mlfinlab.portfolio_optimization import RiskEstimators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "corr = RiskEstimators.cov_to_corr(cov)\n",
    "distance = np.sqrt((1 - corr).round(5) / 2)\n",
    "\n",
    "hrp_distance = HierarchicalRiskParity()\n",
    "hrp_distance.allocate(asset_names=stock_prices.columns,\n",
    "                      distance_matrix=distance, \n",
    "                      covariance_matrix=cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_distance_weights = hrp_distance.weights\n",
    "y_pos = np.arange(len(hrp_distance_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_distance_weights.columns), hrp_distance_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Custom Distance Matrix', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Building our Long/Short Portfolio\n",
    "In this example, we will construct our Long/Short portfolio utilizing the side_weights parameter. By shorting the first four stocks in our dataset we can construct our optimal portfolio the same way we constructed it earlier, of course with the addition of the side_weight parameter to indicate which stocks we would like to short and long (-1 indicates shorting a stock and 1 indicates going long on a stock)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FTSE             -1\n",
      "EuroStoxx50      -1\n",
      "SP500            -1\n",
      "Gold             -1\n",
      "French-2Y         1\n",
      "French-5Y         1\n",
      "French-10Y        1\n",
      "French-30Y        1\n",
      "US-2Y             1\n",
      "US-5Y             1\n",
      "US-10Y            1\n",
      "US-30Y            1\n",
      "Russel2000        1\n",
      "EuroStox_Small    1\n",
      "FTSE_Small        1\n",
      "MSCI_EM           1\n",
      "CRB               1\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "hrp_ls = HierarchicalRiskParity()\n",
    "side_weights = pd.Series([1]*stock_prices.shape[1], index=stock_prices.columns)\n",
    "\n",
    "# short the first 4 stocks\n",
    "side_weights.loc[stock_prices.columns[:4]] = -1\n",
    "\n",
    "hrp_ls.allocate(asset_names=stock_prices.columns,\n",
    "                asset_prices=stock_prices,\n",
    "                side_weights=side_weights)\n",
    "\n",
    "print(side_weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hrp_ls_weights = hrp_ls.weights\n",
    "y_pos = np.arange(len(hrp_ls_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hrp_ls_weights.columns), hrp_ls_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('HRP - Long/Short Portfolio', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "Throughout this tutorial notebook, users were taken through how they can construct an optimal portfolio using the Hierarchical Risk Parity algorithm powered through the MlFinLab library. Users were also shown how they can create custom use cases with this library including how to build a optimized Long/Short portfolio and use a custom distance matrix for calculations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sources\n",
    "Algorithm:\n",
    "- __[Hierarchical Risk Parity - Hudson & Thames](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__\n",
    "\n",
    "Documentation:\n",
    "- __[Hierarchical Risk Parity - MlFinLab](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_risk_parity.html)__"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
